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Find the eigenvalues of the given matrix. [-14 -6 36 16 1) A) -2.-4 B)-4 C)-2 D) -24 The characteristic polynomial of a 5 5 matrix is given below. Find the eigenvalues and their multiplicities 2) A5 - 24A4-189A3-486A2 2) A) 0 (multiplicity 2),-9 (multiplicity 2),-6 (multiplicity 1) B) 0 (multiplicity 1),9 (multiplicity 3), 6 (multiplicity ) C) 0 (multiplicity 2),9 (multiplicity 2),6 (multiplicity 1) D) 0 (multiplicity 2),-9 (multiplicity 2),6 (multiplicity 1) Diagonalize A- PDP-1 the matrix A, if possible. That is, find an invertible matrix P and a diagonal matrix D such that 2 0 0 3) A-1 2 0 A) Not diagonalizable B) D) 1 0 -1 2 0 0 P-22 D1 2 1 -1 0 1 0 0 2 Find the eigenvalues of A, and find a basis for each eigenspace. 4) A--5s 8 -5 A) -5+8i, 11-5-8i, -i Compute the dot product u v 10 t-i」 D) 15 B) 0 C) 18 A)25
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46 36 16 -14-1-6 36 16-λ ely-a) (16-A)-36 (-6) = o 2) o 2.

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